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| 超可解群的两个判别准则 | |
| 引用本文： | 谢凤艳,李保军,骆公志.超可解群的两个判别准则[J].徐州师范大学学报(自然科学版),2008,26(4):8-10. |
| 作者姓名： | 谢凤艳 李保军 骆公志 |
| 作者单位： | 1. 徐州师范大学,数学科学学院,江苏,徐州,221116 2. 成都信息工程学院,数学系,四川,成都,610225 3. 连云港师范高等专科学校,数学系,江苏,连云港,222006 |
| 基金项目： | 国家自然科学基金 |
| 摘 要： | 群G的子群H称为在G中弱s可补充的，如果G有子群K，使得HK=G且H∩K≤H；c．这里H；c是包含在H中的G的最大s置换子群．利用准素子群的弱s可补充性质，给出了超可解群的两个充分条件． |
| 关 键 词： | 有限群 Sylow子群 弱s可补充子群 超可解群 |
Two Sufficient Conditions for Supersovability of Finite Groups |
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| XIE Feng-yan,LI Bao-jun,LUO Gong-zhi.Two Sufficient Conditions for Supersovability of Finite Groups[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(4):8-10. | |
| Authors: | XIE Feng-yan LI Bao-jun LUO Gong-zhi |
| Institution: | XIE Feng-yan , LI Bao-jun , LUO Gong-zhi (1. School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China; 2. Department of Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan, 610225, China; 3. Department of Mathematics, Lianyungang Teacher＇s College, Lianyungang, Jiangsu, 222006, China) |
| Abstract: | A subgroup H of G is said to be weakly s-supplemented in G if G has a subgroup K such that HK=G and H∩K≤H,c, where H,c is the largest s-permutable subgroup of G contained in H. In this paper, by using the properties of weakly s-supplemented subgroups, two new sufficient conditions are obtained under which a group is supersolvable. |
| Keywords: | finite group Sylow subgroup weakly s-supplemented subgroup supersolvable group |
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